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Finding the Fourth Proportional to 305,862.80, 458,794.20 and 282,243.20

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Solution

The fourth proportional to 305,862.80, 458,794.20 and 282,243.20 is: 423,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.80 : 458,794.20 = 282,243.20 : x
  2. Step 2: Convert to fraction form
    305,862.80/458,794.20 = 282,243.20/x
  3. Step 3: Cross multiply
    305,862.80x = 458,794.20 × 282,243.20
  4. Step 4: Simplify right side
    305,862.80x = 129,491,543,149.44
  5. Step 5: Solve for x
    x = 129,491,543,149.44/305,862.80
  6. Step 6: Final answer
    x = 423,364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.